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Finding the Third Proportional to 39,348 and 55,302

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Solution

The third proportional to 39,348 and 55,302 is: 77,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,348 : 55,302 = 55,302 : x
  2. Step 2: Convert to fraction form
    39,348/55,302 = 55,302/x
  3. Step 3: Cross multiply
    39,348x = 55,302 × 55,302
  4. Step 4: Simplify right side
    39,348x = 3,058,311,204
  5. Step 5: Solve for x
    x = 3,058,311,204/39,348
  6. Step 6: Final answer
    x = 77,724.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.